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700148736 = 21032710853
BaseRepresentation
bin101001101110110…
…110110000000000
31210210110020111200
4221232312300000
52413214224421
6153250341200
723231110650
oct5156666000
91723406450
10700148736
1132a241121
1217658a800
13b2091cc1
1468db6360
1541701726
hex29bb6c00

700148736 has 132 divisors (see below), whose sum is σ = 2310686352. Its totient is φ = 200024064.

The previous prime is 700148731. The next prime is 700148749. The reversal of 700148736 is 637841007.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 700148736.

It is not an unprimeable number, because it can be changed into a prime (700148731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59086 + ... + 69938.

Almost surely, 2700148736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 700148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155343176).

700148736 is an abundant number, since it is smaller than the sum of its proper divisors (1610537616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

700148736 is a wasteful number, since it uses less digits than its factorization.

700148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10886 (or 10865 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 700148736 is about 26460.3238075425. The cubic root of 700148736 is about 887.9668845698.

The spelling of 700148736 in words is "seven hundred million, one hundred forty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 10853 16128 21504 21706 32256 32559 43412 64512 65118 75971 86824 97677 130236 151942 173648 195354 227913 260472 303884 347296 390708 455826 520944 607768 683739 694592 781416 911652 1041888 1215536 1367478 1389184 1562832 1823304 2083776 2431072 2734956 2778368 3125664 3646608 4167552 4862144 5469912 5556736 6251328 7293216 8335104 9724288 10939824 11113472 12502656 14586432 16670208 19448576 21879648 25005312 29172864 33340416 38897152 43759296 50010624 58345728 77794304 87518592 100021248 116691456 175037184 233382912 350074368 700148736